Answer:
The ratio of female-to-male is 1:2
Step-by-step explanation:
There are 10 female students and 20 male students. If we were to divide each number by 10, we would get 1 and 2, respectively. That means for every 1 female student, there are 2 male students. The ratio would then be 1:2.
x-intercept is 6, coordinates (6,0)
y-intercept -4, coordinates (0,-4)
gradient= y1-y2/x1-x2= 0-(-4)/6-0= 4/6= 2/3 or 0.667 (3.s.f.)
13. Let A = the amount of money in the given time, P = principal amount; the amount of money you start with, T = time in years, R = interest rate, and N = amount of times interest is compounded each year.
The formula for compound interest is:

Now, we find in the information from the description needed to plug in. P = $1000, R = 7% or 0.07, N = 1 time a year, T = 3 years

This simplifies to:

And again to:

Plug this into a calculator:
A = 1225.043 or ≈1,225.04
14. (x² + 3)(x - 3)(x + 3)
I'm going to do FOIL method on the second and third binomials first and simplify. This gives you:
(x² + 3)(x² - 9)
Then you do the FOIL method again to get:
x⁴ - 9x² + 3x² - 27
And combine like terms for your answer:
x⁴ - 6x² - 27
Number 15 doesn't give you a number to set the polynomial (that results from multiplying those two binomials) equal to so I'm guessing it wants you to set said polynomial equal to zero and solve for x then plug back in.
If not, your area is found by the equation 3x² - 5x - 12
Answer:
2,734,500
Step-by-step explanation:
27,345 × 113 - 27,345 × 13 ← factor out 27,345 from each term
= 27,345(113 - 13)
= 27,345 × 100
= 2,734,500